The value of x is 12.
To solve for x, we can use the fact that alternate interior angles are equal when two lines are parallel.
In this case, angles (5x - 4)° and 124° are alternate interior angles, so they are equal.
The equation (5x-4)+124=180 can be simplified as follows:
First, combine like terms within the parentheses:
(5x-4)+124 = 5x + 120
Now, the equation becomes:
5x + 120 = 180
Next, isolate the term with x by subtracting 120 from both sides:
5x = 60
Finally, solve for x by dividing both sides by 5:
x = 12
Therefore, the solution to the equation (5x-4)+124=180 is x = 12.